Big decisions ahead: A contemplative David Beckham keeps his head down as he takes solitary walk in grey London

He still hasn't made any firm decisions about his footballing future so perhaps David Beckham decided to take a leisurely walk to ponder his next career move.

The 37-year-old former England captain was spotted wandering around London in the rain looking contemplative in a grey beanie hat and blue quilted jacket.

Former LA Galaxy player David set tongues wagging earlier this week after he was spotted training with Arsenal at their their state-of-the-art Hertfordshire training HQ.

Big decisions ahead of him: David Beckham looks contemplative as he walks around London

Although Beckham has insisted he had just joined the Gunners in a bid to maintain his fitness, many will see the training day as the latest indication that the father-of-four is set to sign with the Premier League club.

The father-of-four looked deep in thought as he wandered the streets in his dark jeans and quilted jumper and jacket.

Rumours have been swirling about the star's ability to still play at a Premier League level and perhaps his training may have left him more exhausted than he let on - something which the player may have been considering on his walk.

Big decisions ahead: David Beckham looks thoughtful on his walk, perhaps as he has still not decided where or who he will play for

Keeping his head down: David Beckham may have been considering his future on his walk

Business as usual: David was alone on his walk in plush west Kensington photo@spreadpictures.com

The former Manchester United and Real Madrid midfielder is determined to prove he can still play at the highest level.

Former England soccer captain David was training with Arsenal in a bid to maintain his fitness, manager Arsene Wenger insisted.

The 37-year-old midfielder is a free agent after leaving LA Galaxy at the end of the Major League Soccer season in December.

Over his shoulder: David keeps warm against the winter chills in his quilted jacket

Somber: David Beckham keeps his head down as he wanders the streets

Will he play again professionally? David looks to be considering his options on his solitary walk

'He has asked to come here and to work on his fitness. He has not done anything for a long time,' Wenger told reporters.

'He called me. It is purely for fitness there is no speculation about him signing.

'We get nothing out of it, just to help somebody who we think deserves it and has made great service for English football.'

Time alone: David looks to the pavement as he steps out without his wife or children in west Kensington

The former Manchester United and Real Madrid player was linked by British media with moves to French club Paris St Germain or Premier League sides Queens Park Rangers and West Ham United earlier in the season.

Beckham trained with Arsenal for a short period in 2008 and with north London rivals Tottenham Hotspur two years ago.